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marekrams authored Sep 24, 2021
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13 changes: 10 additions & 3 deletions README.md
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Tensor network approximate contractions for optimalization (tnac4o)
============
M. M. Rams, M. Mohseni and B. Gardas, "Spin-glass droplets learning and approximate optimization with tensor networks",
https://arxiv.org/abs/1811.06518
Accompanying article:
M. M. Rams, M. Mohseni, D. Eppens, K. Jałowiecki and B. Gardas,
"Approximate optimization, sampling and spin-glass droplets discovery with tensor networks", [Phys. Rev. E 104, 025308 (2021)](https://doi.org/10.1103/PhysRevE.104.025308), [arXiv:1811.06518](https://arxiv.org/abs/1811.06518)

Documentation: https://tnac4o.readthedocs.io/en/latest/

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python e04_load_spectrum_droplet_instances.py -L 128 -ins 1
```

Finally, for a minimal example of a problem defined as a Random Markov Field see:
A minimal example of a problem defined as a Random Markov Field see:
```
python e05_minimal_RMF.py
```

Script counting ground state degeneracy for a class of discrete instances in the paper (Fig. 4):
```
python e06_search_gs_degeneracy_J124.py
```

2 changes: 1 addition & 1 deletion doc/source/aux.rst
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aux
===

.. automodule:: tnac4o.aux
.. automodule:: tnac4o.auxx
:members:
:undoc-members:
:show-inheritance:
4 changes: 2 additions & 2 deletions doc/source/index.rst
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It employs tensor network contractions to calculate marginal probabilities and identify the most probable states according to Gibbs distribution.
By identifying spin-glass droplets, it allows reconstructing the low-energy spectrum of the model. It can also be used for Random Markov Fields defined on 2d lattice.

**tnac4o** is based on the paper M. M. Rams, M. Mohseni and B. Gardas, *"Spin-glass droplets learning and approximate optimization with tensor networks"*,
https://arxiv.org/abs/1811.06518
**tnac4o** is based on the paper M. M. Rams, M. Mohseni, D. Eppens, K. Jałowiecki and B. Gardas,
*"Approximate optimization, sampling and spin-glass droplets discovery with tensor networks"*, `Phys. Rev. E 104, 025308 (2021) <https://doi.org/10.1103/PhysRevE.104.025308>`_, `arXiv:1811.06518 <https://arxiv.org/abs/1811.06518>`_

.. toctree::
:maxdepth: 2
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2 changes: 1 addition & 1 deletion tnac4o/__init__.py
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from .tnac4o import tnac4o, load
from .aux import load_Jij, round_Jij, minus_Jij, Jij_f2p, energy_Jij, energy_RMF
from .auxx import load_Jij, round_Jij, minus_Jij, Jij_f2p, energy_Jij, energy_RMF
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